Instability patterns, wakes and topological limnit sets

Details Instability patterns, wakes and topological limnit sets Instability patterns, wakes and topological limnit sets

2001-02-03

arxiv.org/abs/physics/0102005v1

Physics

Fluid Dynamics

16 pages pdf

Scientific paper

Many hydrodynamic instability patterns can be put into correspondence with a subset of characteristic surfaces of tangential discontinuities. These topological limits sets to systems of hyperbolic PDE's are locally unstable, but a certain subset associated with minimal surfaces are globally stabilized, persistent and non-dissipative. Sections of these surfaces are the spiral scrolls so often observed in hydrodynamic wakes. This method of wake production does not depend explicitly upon viscosity.

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